非定常半周期Stokes问题的数值离散

Numerical Discretization of 3-D Unsteady Periodic-Nonperiodic Stokes Equations

研究了三维非定常半周期 Stokes方程的数值离散 .对周期方向引入 Fourier谱方法 ,而对非周期方向引入 Legendre谱方法 ;时间离散使用向后 Euler格式 ,对由此而得的全离散向后欧拉Fourier- Legendre联合谱方法 ,证明了格式的稳定性和收敛性 .

The numerical discretization method of the equations was studied.Fourier spectral method and Legendre spectral method were used for periodic directions and nonperiodic direction separately,and Backward Euler scheme was used for time discretization. This method is known as full-discrete backward-Euler Fourier-Legendre combined spectral method. Finally the stability and convengence of the method were proven.